Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 20 mph in a direction 330°?
Jan 28, 2009 in
SailBoat Charters
Butterflygirl asked:
The second sails at 34 mph in a direction 220°. Assuming that both boats maintain speed and heading, after 2 hours, how far apart are the boats?
The second sails at 34 mph in a direction 220°. Assuming that both boats maintain speed and heading, after 2 hours, how far apart are the boats?
I’m so bad at these questions, what formula can I use to figure this out?
bahamas sailing vacation
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3 comments
raj_vek on January 29, 2009 at 6:13 pm
cosine rule, draw the triangle
i think 89.9 miles apart
MARS on January 29, 2009 at 9:03 pm
make a triangle of the direction and the total distance covered.
you know one ang and length of the two arms forming that angle. so u the cos rule to solve the question.
here is the equation for cos rule
c^2 = a^2 + b^2 – 2abcox(theta)
c^2 = 68^2 + 40^2 – 2(68)(40)(cos110)
c = 89.91
the ships are 89.9 miles apart
Wylie Coyote on February 2, 2009 at 5:05 am
The angle between these is 110. How I approached it is to check the angle between. Break it into components rcos< and rsin